A208791 Number of nX3 0..2 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it

12, 160, 2284, 32446, 461280, 6557958, 93227592, 1325375622, 18841850112, 267863199566, 3808028293448, 54136282267542, 769619639908176, 10941178835048766, 155543535899731032, 2211260341782871974

Offset

1,1

Comments

Column 3 of A208796

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 4*a(n-1) +123*a(n-2) +332*a(n-3) -170*a(n-4) -796*a(n-5) +124*a(n-6) +464*a(n-7) -88*a(n-8) -16*a(n-9)

Example

Some solutions for n=4
..0..1..0....2..1..0....1..2..1....2..0..1....0..1..2....2..1..2....2..0..1
..2..0..2....0..2..2....2..1..1....0..0..2....1..2..0....1..2..1....0..0..2
..0..0..1....1..0..2....1..0..1....2..0..0....0..2..0....0..2..1....1..0..2
..1..0..0....2..2..2....2..2..2....1..0..1....2..0..1....1..2..2....2..2..1

Crossrefs

Sequence in context: A355844 A219418 A098400 * A019578 A144346 A167558

Adjacent sequences: A208788 A208789 A208790 * A208792 A208793 A208794

Keyword

nonn

Author

R. H. Hardin Mar 01 2012

Status

approved